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42410144 = 257593209
BaseRepresentation
bin1010000111001…
…0000010100000
32221210122210002
42201302002200
541324111034
64112555132
71023323510
oct241620240
987718702
1042410144
1121a37407
1212252aa8
138a2b87a
1458bd840
153acae7e
hex28720a0

42410144 has 48 divisors (see below), whose sum is σ = 97070400. Its totient is φ = 17862144.

The previous prime is 42410117. The next prime is 42410149. The reversal of 42410144 is 44101424.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42410149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11612 + ... + 14820.

It is an arithmetic number, because the mean of its divisors is an integer number (2022300).

Almost surely, 242410144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48535200).

42410144 is an abundant number, since it is smaller than the sum of its proper divisors (54660256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42410144 is a wasteful number, since it uses less digits than its factorization.

42410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 42410144 is about 6512.3071180650. The cubic root of 42410144 is about 348.7304865261.

Adding to 42410144 its reverse (44101424), we get a palindrome (86511568).

The spelling of 42410144 in words is "forty-two million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1888 3209 3304 6418 6608 12836 13216 22463 25672 44926 51344 89852 102688 179704 189331 359408 378662 718816 757324 1325317 1514648 2650634 3029296 5301268 6058592 10602536 21205072 42410144